Question

Two polygons are congruent and the perimeter of the first polygon is 38 cm. If the sides of the second polygon are consecutive integers (x, x+1, x+2, x+3, etc.), what value of x makes the polygons into congruent quadrilaterals? Use x as the smallest side.

Answer 1

38 = x + x + 1 + x + 2 + x + 3
38 = 4x + 6
32 = 4x
x = 8
If the two polygons are congruent, that means all parts of it are congruent as well. This includes area, perimeter, and side lengths. Plus, it asks congruent QUADRILATERALS so you only use 4 of the consecutive sides.

Answer 2

would x= 8 by any chance?

Answer 3

o ok

Answer 4

lol posted that just as ur response came in thank you

Answer 5

Yes you are right. lol You're welcome :D

Answer 6

mind if i ask you one more

Answer 7

Sure Go ahead!

Answer 8

The ratio of the areas of two similar polygons is 225:36. What is the ratio of their corresponding sides?

Answer 9

would it be 5:2?

Answer 10

Unfortunately no. Hold on and I'll explain the concept.

Answer 11

First you have to understand the concept that similar polygons aren't just similar in terms of side lengths. Their areas also have a special ratio. The ratio of side lengths is represented as a:b. The ratio of areas is a^2:b^2. So, if a^2:b^2 = 225:36, then a:b = 15:6 or 5:2 because to get a:b, you find the square root. The square root of 225 is 15 and the square root of 36 is 6.

Answer 12

lol so i was right?

Answer 13

O_O lol. I didn't see that you simplified it. -_- That's what I get for doing it in my head...

Answer 14

do you mind helping me check a few more lol dont want to get a bad score on this

Answer 15

Sure

Answer 16

If a picture with a width of 4 inches is made larger using a ratio of similarity of 2:5, what is the new width of the picture?

Answer 17

8?

Answer 18

seems obvious but 2 simple to be right lol

Answer 19

No. It's 10. You set up a proportion. 2/5 = 4/x THis turns to 20 = 2x. x = 10

Answer 20

If you think logically, you just doubled 2 to get 4. So, you would just multiply 5 by 2 to get 10 if you want to do it sensibly.

Answer 21

ah

Answer 22

last 1 xD

Answer 23

Triangle ABC is similar to triangle DEF and has a ratio of similarity of 6:1. If side ED measures 12 mm, how long is side BA?

Answer 24

BA is 2.

Answer 25

Wait a sec. Nevermind I goofed

Answer 26

BA is 72.

Answer 27

thank you xD submitted the exam and got a perfect score

Answer 28

You're Welcome

Answer 29

virtual school would be a pain if not for this site

Answer 30

Congratulations! :)

Answer 31

Yeah. I know what it feels like. I'm finishing Algebra II online around now.

Answer 32

but you're good at math so to you its a matter of when you feel like doing.

Answer 33

doing it*

Answer 34

Kind of, but sometimes it's a pain showing your work on a computer. Especially with all of the special symbols.

Answer 35

well if you're bored let me know i have more questions to ask moving onto the next quiz pretty much on the same material

Answer 36

youre help would make this go by super fast

Answer 37

your*

Answer 38

Sure. I'll help.

Answer 39

hello

Answer 40

hey

Answer 41

k the next question is triangle bcd is equal or similar to triangle fgh if side cd is equal to side gh and side bd is equal or similar to side fh then which angle is used to show the sas postulate

Answer 42

Angle D. Because the angle is included.

Answer 43

these are the options
a)angle bcd and angle fgh
b)angle bdc and angle fhg
c)angle cbd and angle gfh
d)angle dcb and angle hgf

Answer 44

Choice B. I believe

Answer 45

k ty that was the only annoying 1

Answer 46

heres the next one

Answer 47

What is the area of a regular pentagon with a side of 7.2 and an apothem of 6?

Answer 48

Ok. THis one is easier than you'd think. A = 1/2aP where a is the apothem and P is the perimeter. A = 108

Answer 49

how do you remember all these formulas lol

Answer 50

lol. You just learn to remember them. I'm in math team at school, so I kinda have to remember in order to do well because I also have no calculator. That's why I can do this stuff in my head too. :P